In a seminal work, Aspuru Guzik et. al. carried out a digital quantum simulation of two molecular systems, using the full configuration interaction (FCI), and computed their ground state energies [1]}. The approach was based on the famous quantum phase estimation (QPE) algorithm of Abrams and Lloyd [2]}, [3]}. The QPE algorithm would lead to a significant reduction in time complexity as compared to classical devices in the future when many more qubits are available.
